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What is the Least Common Multiple of 65742 and 65761?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 65742 and 65761 is 4323259662.

LCM(65742,65761) = 4323259662

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Least Common Multiple of 65742 and 65761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65742 and 65761, than apply into the LCM equation.

GCF(65742,65761) = 1
LCM(65742,65761) = ( 65742 × 65761) / 1
LCM(65742,65761) = 4323259662 / 1
LCM(65742,65761) = 4323259662

Least Common Multiple (LCM) of 65742 and 65761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65742 and 65761. First we will calculate the prime factors of 65742 and 65761.

Prime Factorization of 65742

Prime factors of 65742 are 2, 3, 10957. Prime factorization of 65742 in exponential form is:

65742 = 21 × 31 × 109571

Prime Factorization of 65761

Prime factors of 65761 are 65761. Prime factorization of 65761 in exponential form is:

65761 = 657611

Now multiplying the highest exponent prime factors to calculate the LCM of 65742 and 65761.

LCM(65742,65761) = 21 × 31 × 109571 × 657611
LCM(65742,65761) = 4323259662